2928970800 has 960 divisors, whose sum is σ = 13152015360. Its totient is φ = 603832320.

The previous prime is 2928970777. The next prime is 2928970823. The reversal of 2928970800 is 80798292.

It is an interprime number because it is at equal distance from previous prime (2928970777) and next prime (2928970823).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55263574 + ... + 55263626.

It is an arithmetic number, because the mean of its divisors is an integer number (13700016).

Almost surely, 2^2928970800 is an apocalyptic number.

2928970800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576007680).

2928970800 is an abundant number, since it is smaller than the sum of its proper divisors (10223044560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2928970800 is a wasteful number, since it uses less digits than its factorization.

2928970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2928970800 is about 54119.9667405663. The cubic root of 2928970800 is about 1430.7761121897.

The spelling of 2928970800 in words is "two billion, nine hundred twenty-eight million, nine hundred seventy thousand, eight hundred".